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Finding the Third Proportional to 6,874,132 and 14,930,580

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Solution

The third proportional to 6,874,132 and 14,930,580 is: 32,429,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874,132 : 14,930,580 = 14,930,580 : x
  2. Step 2: Convert to fraction form
    6,874,132/14,930,580 = 14,930,580/x
  3. Step 3: Cross multiply
    6,874,132x = 14,930,580 × 14,930,580
  4. Step 4: Simplify right side
    6,874,132x = 222,922,219,136,400
  5. Step 5: Solve for x
    x = 222,922,219,136,400/6,874,132
  6. Step 6: Final answer
    x = 32,429,144.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.